Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Answer 1

Answer:

1) shifts f(x) 4 units down  = g(x) = $2x-10$

2) stretches by factor 4    =  g(x) = $8x-24$

3) shifts f(x) 4 units right   =  g(x) = $2x-14$

4) compresses by factor 4 =  g(x) = $8x-6$

Step-by-step explanation:

1) When we have to move the function down by 4 units, subtract the whole function by -4, that is y -4.

Thus, f(x) becomes  g(x) = $2x-6-(4)$ = $2x-10$

2) When the function is stretched away from x axis, it means in Y direction.

 Thus, when stretched 4 units in Y direction, the function becomes 4(f(x))

 =  g(x) = $4(2x-6)$ = $8x-24$

3)When we have to move the function right by 4 units, replace x with (x-4) in the function.

Thus, f(x) becomes  g(x) = $2(x-4)-6$ = $2x-8-6$ = $2x-14$

4) When the function is stretched towards y axis, it means in X direction.

 Thus, when compressed 4 units in X direction, replace the x by 4x.

 =  g(x) = $2(4x)-6$ = $8x-6$